10258897248 has 72 divisors (see below), whose sum is σ = 30889856088. Its totient is φ = 3218476032.

The previous prime is 10258897237. The next prime is 10258897249. The reversal of 10258897248 is 84279885201.

10258897248 is a `hidden beast` number, since 10 + 2 + 588 + 9 + 7 + 2 + 48 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a junction number, because it is equal to n+sod(n) for n = 10258897194 and 10258897203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10258897249) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1042786 + ... + 1052577.

It is an arithmetic number, because the mean of its divisors is an integer number (429025779).

Almost surely, 2^10258897248 is an apocalyptic number.

10258897248 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

10258897248 is an abundant number, since it is smaller than the sum of its proper divisors (20630958840).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10258897248 is a wasteful number, since it uses less digits than its factorization.

10258897248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2095396 (or 2095385 counting only the distinct ones).

The product of its (nonzero) digits is 2580480, while the sum is 54.

The spelling of 10258897248 in words is "ten billion, two hundred fifty-eight million, eight hundred ninety-seven thousand, two hundred forty-eight".